The expressions for static displacements on the surface of a layered half-space due to static point moment tensor source are given in terms of the generalized reflection and transmission coefficient matrix method. The validity and precision of the new method is illustrated by comparing the consistency of our results with the analytical solution given by Okadas code employing the same point source and homogenous half-space model The computed vertical ground displacement using the moment tensor solution of the Lanchang-Gengma earthquake displays considerable difference with that of a double couple component. The effect of a soft layer at the top of the homogenous half-space on a shallow normal-faulting earthquake is also analysed. Our results show that more seismic information would be obtained utilizing seismic moment tensor source and layered half-space model.